#### Title

Inequalities for the Polar Derivative of a Polynomial

#### Abbreviated Journal Title

Complex Anal. Oper. Theory

#### Keywords

Polynomials; Polar derivative; Inequalities in the complex domain; Mathematics, Applied; Mathematics

#### Abstract

Let P(z) be a polynomial of degree at most n. We consider an operator D (alpha) which maps a polynomial P(z) into D (alpha) P(z) := nP(z) + (alpha - z)P'(z) and prove results concerning the estimates of |D (alpha) P(z)| on the disk |z| = R a parts per thousand yen 1, and thereby obtain extensions and generalizations of a number of well-known polynomial inequalities.

#### Journal Title

Complex Analysis and Operator Theory

#### Volume

6

#### Issue/Number

6

#### Publication Date

1-1-2012

#### Document Type

Article

#### Language

English

#### First Page

1199

#### Last Page

1209

#### WOS Identifier

#### ISSN

1661-8254

#### Recommended Citation

"Inequalities for the Polar Derivative of a Polynomial" (2012). *Faculty Bibliography 2010s*. 2938.

http://stars.library.ucf.edu/facultybib2010/2938

## Comments

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